
for all sufficiently large \(n\) . Since (C.5) holds for all sufficiently large \(n\) , by Lemma A.3 in [1]} and the argument in the proof of Theorem 5.4 in [2]},
\(\pi (s(\Sigma ,\delta _n)>s_n)\le \frac{\exp (-\binom{p}{2}\text{H}(\rho _n||s_n/\binom{p}{2}))}{\sqrt{2\pi }\sqrt{2\binom{p}{2}\text{H}(\rho _n||s_n/\binom{p}{2})}},\) 
